Results 121 to 130 of about 11,444 (271)
Fractional Stochastic Van der Pol Oscillator with Piecewise Derivatives
Journal of Mathematics, Volume 2024, Issue 1, 2024.This work investigates piecewise Vand der Pol oscillator under the arbitrary order, piecewise derivatives, and power nonlinearities to present a novel idea of piecewise systems using the classical‐power‐law randomness and classical Mittag–Leffler‐law‐randomness.
Atul Kumar +6 more
wiley +1 more source
Study of implicit delay fractional differential equations under anti-periodic boundary conditions
Advances in Difference Equations, 2020 This research work is related to studying a class of special type delay implicit fractional order differential equations under anti-periodic boundary conditions.
Arshad Ali +2 more
doaj +1 more source
Complexity, Volume 2024, Issue 1, 2024.Lassa fever is an acute viral hemorrhagic disease that affects humans and is endemic in various West African nations. In this study, a fractional‐order model is constructed using the Caputo operator for SEIR‐type Lassa fever transmission, including the control strategy.
Muhammad Farman +3 more
wiley +1 more source
Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.In this paper, the sequential conformable Langevin‐type differential equation is studied. A representation of a solution consisting of the newly defined conformable bivariate Mittag‐Leffler function to its nonhomogeneous and linear version is obtained via the conformable Laplace transforms’ technique. Also, existence and uniqueness of a global solution
M. Aydin, N. I. Mahmudov, Waleed Adel
wiley +1 more source
, 2016 In this article, we prove that the ω-periodic discrete evolution family Γ:={ρ(n,k):n,k∈Z+,n≥k}$\Gamma:= \{\rho(n,k): n, k \in\mathbb{Z}_{+}, n\geq k\}$ of bounded linear operators is Hyers-Ulam stable if and only if it is uniformly exponentially stable ...
Tongxing Li, A. Zada
semanticscholar +1 more source
Symmetry, 2020 The aim of this paper is to study the stability of generalized Liouville–Caputo fractional differential equations in Hyers–Ulam sense. We show that three types of the generalized linear Liouville–Caputo fractional differential equations are Hyers–Ulam ...
Kui Liu, Michal Feckan, Jinrong Wang
semanticscholar +1 more source
Hyers–Ulam–Rassias stability of a linear recurrence
Journal of Mathematical Analysis and Applications, 2005 The author considers a linear recurrence \[ x_{n+1}=a_nx_n+b_n,\qquad n\geq 0,\;x_0\in X \] where \((x_n)\) is a sequence in a Banach space \(X\) and \((a_n)\), \((b_n)\) are given sequences of scalars and vectors in \(X\), respectively. Then, a stability result is proved: Suppose that \(\varepsilon>0\), \(| a| >1\) and an arbitrary sequence \((b_n ...
openaire +2 more sources
Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation
Complexity, 2019 In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.
Nguyen Ngoc Phung, Bao Quoc Ta, Ho Vu
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Stability of generalized Newton difference equations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In the paper we discuss a stability in the sense of the generalized Hyers-Ulam-Rassias for functional equations Δn(p, c)φ(x) = h(x), which is called generalized Newton difference equations, and give a sufficient condition of the generalized Hyers-Ulam ...
Wang Zhihua, Shi Yong-Guo
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Hyers-Ulam stability for nonautonomous dynamics
, 2021 We survey various recent results devoted to Hyers- Ulam shadowing and shadowing for broad classes of nonautonomous dynamics.
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